固定鸭舵式二维弹道修正弹稳定性分析

Stability Analysis of Two-Dimensional Trajectory Correction Mortar with Fixed-Canard

在研究固定鸭舵式二维弹道修正弹受力的基础上,建立描述弹丸运动状态的7自由度刚体弹道模型.采用小扰动法将所建立的刚体弹道模型线性化,建立弹丸的扰动运动方程组,并给出李雅普诺夫意义下的稳定性判据.固定鸭舵式二维弹道修正迫弹的飞行试验表明,所建立的7自由度刚体弹道模型可精确描述弹丸的运动状态.在针对迫弹的研究中发现,弹丸扰动运动方程组的动力学系数具有对应相等的关系,进而将扰动运动方程组简化,得到低速滚转迫弹的稳定性判据,并验证判据正确性.

The force of the trajectory correction projectile with fixed canards changes great because of the dual-spin structure,so the motion state changes.The purpose of this paper is to establish an accurate model for this type of projectiles,and to find out a method to analyze the stability.On the basis of studying the force on the projectile,7 degree of freedom rigid body trajectory model is established.Then the trajectory model is linearized,and the perturbation equations of projectile motion are obtainedand a stability criterion is given.The flight experiment shows that the model can describe the motion state accurately,and can judge the stability of this projectile.In the later study for the mortar shell,the equations are simplified,because the coefficients of the corresponding terms are equal to each other.The stability criterion of the mortar shell which spins at a low speed is obtained,and the data of the experiment prove the correctness of the criterion.